SOLUTION: Graph each system. Tell whether each system has no solution, or infinitely many solutions.
x+2y=10
2x+4y=10
HELP!!!
Algebra.Com
Question 768212: Graph each system. Tell whether each system has no solution, or infinitely many solutions.
x+2y=10
2x+4y=10
HELP!!!
Found 2 solutions by tommyt3rd, josmiceli:
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
x+2y=10
2x+4y=10
or
x+2y=10
x+2y=5
these line have the same slope but different intercepts so they are parallel (no solution)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
These are 2 different equations, because
if you double the 1st one, you get
, which is not the 2nd one
------------------
Now determine if they have the same slope,
which will mean that they don't intersect, and
there will be no solution
------------------
(1)
(1)
(1)
and
(2)
(2)
(2)
------------------------
Both equations have a slope = ,
so they do not intersect, and there is no solution
------------------------
Here's a plot:
RELATED QUESTIONS
tell whether the system has one solution infinitely many solutions or no solution... (answered by mananth)
i need to solve each system by graphing and tell wether the system has one solution,... (answered by mananth)
Solve the system by graphing. Tell whether the system has one solution, infinitely many... (answered by checkley79)
Graph each system. Tell whether the system has no solution, one solution, or infinitely... (answered by richwmiller)
Solve each system by substitution. Tell whether the system has one solution, infinitely... (answered by Fombitz)
Please help me solve this -
Use substitution to solve each system of equations. If... (answered by jim_thompson5910)
use substitution to solve each system of equations. if the system of equation does not... (answered by math-vortex)
Tell whether the following system has one solution, infinitely many solutions or no... (answered by richard1234)
Solve each system by graphing. Does it have one solution, no solution, or infinitely many (answered by lynnlo)